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In ΔIJK, the measure of ∠K=90°, JK = 6.4 feet, and KI = 7.3 feet. Find the measure of ∠J to the nearest degree.

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abidemiokin

Answer:

∠J = 49°

Step-by-step explanation:

Given a right angles triangle ΔIJK as shown in the attachment

Given

∠K=90°

JK = 6.4 feet = adjaccent

KI = 7.3 feet = opposite

Since we are looking for ∠J, we will use TOA according to SOH, CAH, TOA

Tanθ = opposite/adjacent

Tanθ = 7.3/6.4

Tanθ = 1.140625

θ = tan⁻¹1.140625

θ = 48.759°

θ ≈ 49° (to the nearest degree)

Hence the measure of ∠J to the nearest degree is 49°

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